North Korea's state-run news agency KCNA, meanwhile, said Monday that Kim had "expressed his will and conviction that a great progress would surely be made in solving the issues of utmost concern of the world and in attaining the goal set forth at the last talks with the projected second DPRK-U.S. summit talks as an occasion".
Wang appealed to Pompeo to cease actions that Beijing sees as threatening its interests in order to avoid disrupting co-operation over North Korea and other issues.
"Sometimes that last inch is hard to close", he told reporters on his way to Beijing from Seoul.
Before visiting Pyongyang, Pompeo held talks in Tokyo with Japan's prime minister, and pledged that the Trump administration would coordinate and unify its strategy for denuclearization with its allies.
The Washington Post reported that Pompeo met with Kim for about two hours and had lunch.
After a previous visit to Pyongyang in July, Pompeo had said the two foes made progress on key issues - but within hours of his departure the North condemned "gangster-like" demands from the United States, raising questions over how much the two sides really saw eye to eye.
Pompeo, who was briefing Wang following his visit with North Korean leader Kim Jong Un, said, "The issues that you characterized, we have a fundamental disagreement".
"The range of inspection is what matters", Shin Beom-chul, a senior fellow at the Asan Institute for Policy Studies, told ABC News in Seoul.
State Department spokeswoman Heather Nauert said in a statement Kim had invited inspectors to visit the Punggye-ri nuclear test site to confirm it had been irreversibly dismantled. "But we will get there". He said Chinese leader Xi Jinping was also expected to travel to North Korea but did not elaborate further. "Some of that is actually not even going to be about the threshold question of whether we can do this, it is more of the modalities of how to do this".
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The KCNA said that Kim also expressed "will" and "conviction" to make progress on issues of mutual concern, apparently indicating the denuclearization talks that have nearly been stalled since the June summit in Singapore.
State media on Monday (October 8) say Kim called Pompeo's visit "productive and wonderful".
China's foreign minister argued the U.S.is responsible for escalating trade conflicts.
The two countries have, however, been in a standoff over what the term denuclearisation means.
"Yeah, so we had a great, great visit this morning", Pompeo replied.
It added that there was an agreement to hold working-level talks to arrange a second summit between Kim and Trump.
The US is hoping to get China to support its plan for North Korea's nuclear disarmament.
Pompeo was hit by North Korean officials a few months ago as having a "gangster-like demand for denuclearization".
North Korea so far has suspended nuclear and missile tests, freed three American prisoners and dismantled parts of a missile engine facility and tunnel entrances at a nuclear test site.